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💎 Calculators

Knoop Hardness (HK)

Calculate the Knoop hardness, HK = 14.229 × F ÷ d², from the load F (kgf) and the long diagonal d (mm) of the elongated rhombic indentation left by a Knoop diamond indenter. The result, in kgf/mm² (HK), is used mainly for microhardness of brittle materials, coatings, glass and ceramics, and thin samples: the Knoop's elongated, shallow indentation measures narrow layers and hardness gradients better than Vickers and is less sensitive to microcracking. Enter the load and the long diagonal of the indentation.

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Dureza Knoop (HK)

A dureza Knoop é uma variação da microdureza criada para situações em que o Vickers tem limitações. Seu penetrador de diamante é uma pirâmide alongada e assimétrica, que deixa uma impressão em forma de losango bem comprido (a diagonal maior é cerca de 7 vezes a menor). A dureza vem da carga dividida pela área projetada: HK = 14,229 × F ÷ d², com F em kgf, d a diagonal maior em mm. O formato alongado traz três vantagens. Primeiro, a impressão é rasa (menos profunda que a Vickers para a mesma carga), ideal para revestimentos finos, camadas superficiais e amostras delgadas, sem o substrato influenciar. Segundo, mede-se apenas a diagonal longa, o que dá boa resolução para mapear gradientes de dureza em distâncias pequenas. Terceiro, em materiais frágeis como vidros e cerâmicas, a impressão Knoop é menos propensa a gerar microtrincas que falseariam a leitura. Por isso o Knoop é o método preferido em metalografia de materiais duros e quebradiços e no estudo de filmes e tratamentos de superfície. Informe a carga e a diagonal maior da impressão.

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Vickers Hardness (HV)

Calculate the Vickers hardness, HV = 1.8544 × F ÷ d², from the applied load F (kgf) and the mean diagonal d (mm) of the indentation left by a square-based diamond pyramid indenter (136° angle). The result, in kgf/mm² (HV), measures the material's resistance to penetration. The Vickers test is versatile: one scale spans soft to extremely hard materials, and with small loads (microhardness) it can measure individual phases, thin layers and weld-adjacent regions. Enter the load and the mean indentation diagonal.

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Tensile Strength from Brinell Hardness

Estimate a carbon steel's tensile strength (Rm) from the Brinell hardness, Rm ≈ 3.45·HB, in MPa. There is a remarkably robust empirical correlation between hardness and strength in steels, which lets you estimate strength from a hardness test — fast, cheap and almost non-destructive — instead of a tensile test. Useful in inspection and quality control. Enter the Brinell hardness (HB).

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Water Absorption (Ceramic)

Compute the water absorption of a ceramic piece, WA = (wet mass − dry mass)/dry mass·100%, the amount of water the open pores absorb by immersion. It is the property that classifies ceramic tiles: porcelain (WA ≤ 0.5%, very dense and strong), stoneware, semi-stoneware, semi-porous and porous (wall tile, WA > 10%). The lower the absorption, the more sintered and resistant the piece. Enter the wet mass and the dry mass.

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True Strain

Calculate the true (logarithmic) strain, ε = ln(1 + e), from the engineering strain e (dimensionless or fractional). While engineering strain uses the fixed initial length as reference, true strain integrates the instantaneous length changes, being additive and better suited to large plastic deformations such as in metal forming (rolling, extrusion, drawing). The result is the actual strain accumulated by the material. For small strains, ε ≈ e; the difference grows as strain increases. Enter the engineering strain.

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The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.